40214 ÷ 8 = 5026 R6
Alright, let's work through the division of 40214 by 8 step by step.

Step 1:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 8

Step 2:
8 goes into 40 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 40 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Step 3:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 50
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 4:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 502
Subtract 16 from 21 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 8

Step 5:
8 goes into 54 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 5026
Subtract 48 from 54 to get 6.

The final result is 5026 with a remainder of 6.